A project manager is estimating the duration of an activity. The optimistic estimate is 6 days, the most likely estimate is 10 days, and the pessimistic estimate is 20 days. The expected duration using the PERT (Program Evaluation and Review Technique) formula is 11 days.
The PERT formula for expected duration is given by
TE = (Optimistic + 4 x Most Likely + Pessimistic) / 6. Substituting the values: TE = (6 + 4 x 10 + 20) / 6 = (6 + 40 + 20) / 6 = 66 / 6 = 11 days. Therefore, the statement that the expected duration is 11 days is correct.
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